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arXiv:2502.00912 [math.GT]AbstractReferencesReviewsResources

Basis for KBSM of fibered torus with multiplicity two exceptional fiber

Mieczyslaw K. Dabkowski, Cheyu Wu

Published 2025-02-02Version 1

We construct a family of bases for the Kauffman bracket skein module (KBSM) of the product of an annulus and a circle. Using these bases, we find a new basis for the KBSM of $(\beta,2)$-fibered torus as a first step toward developing techniques for computing KBSM of a family of small Seifert fibered $3$-manifolds.

Comments: 30 pages, 37 figures
Categories: math.GT
Subjects: 57K31, 57K10
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